Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Integration by Substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Integration by Substitution

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rebel

Integration by Substitution

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rebel

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Substitute the numeric or algebraic definition of a variable into different expressions. 

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Integration by susbtitution, no hint given

Integration by Substitution

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rebel

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Integration by susbtitution, no hint given

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

Integration by Substitution

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rebel

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Basic indefinite integrals, Basic definite integrals, integration by substitution

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Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

Integration by Substitution

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rebel

Integration by susbtitution, no hint given

Find $\displaystyle I=\int \frac{2 a x +b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Integration by Substitution

rebelmaths

rebel